Halliday, Resnick & Walker — Potential Energy and Conservation of Energy: Problem 110

A 5.0 kg block is projected at 5.0 m/s up a plane that is inclined at 30° with the horizontal. How far up along the plane does the block go (a) if the plane is frictionless and (b) if the coefficient of kinetic friction between the block and the plane is 0.40? (c) In the latter case, what is the increase in thermal energy of block and plane during the block’s ascent? (d) If the block then slides back down against the frictional force, what is the block’s speed when it reaches the original projection point?